38157966 has 240 divisors, whose sum is σ = 119180160. Its totient is φ = 8981280.

The previous prime is 38157961. The next prime is 38157971. The reversal of 38157966 is 66975183.

It is a happy number.

38157966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38157961) and next prime (38157971).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (272160) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38157961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1659031 + ... + 1659053.

It is an arithmetic number, because the mean of its divisors is an integer number (496584).

Almost surely, 2^38157966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38157966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59590080).

38157966 is an abundant number, since it is smaller than the sum of its proper divisors (81022194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38157966 is a wasteful number, since it uses less digits than its factorization.

38157966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 38157966 is about 6177.2134494447. The cubic root of 38157966 is about 336.6627543686.

It can be divided in two parts, 3815 and 7966, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 38157966 in words is "thirty-eight million, one hundred fifty-seven thousand, nine hundred sixty-six".